9514 1404 393
Answer:
480 ft
Step-by-step explanation:
The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.
The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.
8 × 60 ft = 480 ft
The lighthouse is 480 feet away.
Answer:C=10
Step-by-step explanation:
Follow along with the picture below
The formula for this type of problem is a^2+b^2=c^2
We know that 6=a and 8=b so we fill in the formula and square them
we then add the two values we got which get us to 100=c^2
we want to get rid of that square with we square root bothe sides and get c and the square root of 100 is 10.
So C=10
Answer:
10.26 in²
Step-by-step explanation:
The area (A) of the sector is
A = area of circle × fraction of circle
= πr² ×
= π × 2.8² × ≈ 10.26 in²